经典碰撞麦克斯韦等离子体中横向电磁波感应的纵向电流
Longitudinal electric current in classical collisional Maxwellian plasma, inducted by transversal electromagnetic wave
摘要：
采用麦克斯韦等离子体碰撞动力学方程。碰撞积分采用BGK（Bhatnagar，Gross and Krook）型。从弗拉索夫方程出发，得到了电子在横向电场大小平方律近似下的分布函数。推导了电流计算公式。这个公式包含一个一维求积。它示出，非线性导致揭示的纵向电流沿波矢量。该纵向电流垂直于已知的所谓横向经典电流。经典电流在线性分析中出现。计算了小波数情况下的纵向流。当碰撞频率趋于零时，碰撞等离子体的所有公式都通过了已知的无碰撞等离子体的相应结果。对无因次电流密度进行了图解研究。
英文摘要：
Kinetic Vlasov equation for collisional Maxwellian plasmas is used. Collision integral of BGK (Bhatnagar, Gross and Krook) type is applied. From Vlasov equation we find distribution function of electrons in square-law approximation on size of transversal electric field. The formula for electric current calculation is deduced. This formula contains an one-dimensional quadrature. It is shown, that nonlinearity leads to revealing of the longitudinal electric current directed along a wave vector. This longitudinal current is perpendicular to known so-called transversal classical current. The classical current turns out at the linear analysis. The longitudinal current in case of small values of wave numbers is calculated. When frequency of collisions tends to zero, all received formulas for collisional plasmas pass in the known corresponding results for collisionless plasmas. Graphic research of dimensionless density of a current is carried out.
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